Universal Approximation of Mamdani Fuzzy Controllers and Fuzzy Logical Controllers
Bo Yuan, George J. Klir · NASA University Research Centers Technical Advances in Education, Aeronautics, Space, Autonomy, Earth and Environment · 1997
In this paper, we first distinguish two types of fuzzy controllers, Mamdani fuzzy controllers and fuzzy logical controllers. Mamdani fuzzy controllers are based on the idea of interpolation while fuzzy logical controllers are based on fuzzy logic in its narrow sense, i.e., fuzzy propositional logic. The two types of fuzzy controllers treat IF-THEN rules differently. In Mamdani fuzzy controllers, rules are treated disjunctively. In fuzzy logic controllers, rules are treated conjunctively. Finally, we provide a unified proof of the property of universal approximation for both types of fuzzy controllers.